With Netanyahu meeting high-ranking British officials during his two-day UK trip, activists have called on Cameron to press the Israeli leader over his policies towards Gaza, and in particular, the country's eight-year blockade of the Palestinian coastal enclave.
Israel has justified the action, saying that the blockade prevents weapons from being smuggled into the territory and subsequently into the hands of terrorist groups, such as Hamas.
However, others say the blockade is overly excessive and prevents vital supplies and aid from entering the impoverished area, which is home to 1.8 million Palestinians.
"Mr Cameron should tell the Israeli PM that Israel's security concerns shouldn't be used as an excuse to collectively punish, impoverish and humiliate 1.8 million people in Gaza," Amnesty International UK's Head of Policy and Government Affairs, Allan Hogarth said.
"David Cameron should be direct with Benjamin Netanyahu, telling him that Gaza's suffering is unacceptable and must end now. Israel has an obligation to end its collective punishment of Gaza's civilian population, and completely lifting the blockade is the right thing to do."
Netanyahu Protests Continue
Netanyahu has been subject to widespread public criticism in Britain during his two-day visit, with protesters demonstrating against Israel's actions.
— Jon Scammell (@JonScammell) September 9, 2015
More than 100,000 Britons signed a petition calling for UK officials to arrest Netanyahu for war crimes during his British visit, in relation to Israel's Gaza offensive of 2014 that claimed the lives of more than 2,000 Palestinians.
Meanwhile, others have taken aim at the continued construction of Jewish settlements in the occupied Palestinian territories of the West Bank, an act which is against international law.
"The UK should be unequivocal about Israel's settlement policy in the Occupied Palestinian Territories, which is a war crime. The UK must press for an immediate halt to Israel's construction and expansion of illegal settlements, as a first step towards removing civilians living in them. All those suspected of criminal responsibility for Israel's settlement policy must be brought to trial," Mr Hogarth said.
"The UK has been a staunch supporter of international justice through the International Criminal Court and this should not be compromised when it comes to Israel. Mr Cameron must be unequivocal on this, telling Mr Netanyahu that he must stop opposing the ICC and ensure that accountability and justice are delivered through the Court."
Demonstrators have also used Netanyahu's visit to Britain to draw attention to the British arms trade, with protesters constructing a blockade of London's Defense & Security Equipment International (DSEI) arms fair, which is one of the largest in the world.
Critics have accused the UK of putting profits before human rights, as they country continues to sell military weapons to countries such as Israel and Saudi Arabia, who have been found guilty of serious human rights violations.